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@article{UZERU_1994_2_a0, author = {S. E. Behery and A. R. Kazaryan and I. G. Khachatryan}, title = {On regular binomial differential operator of}, journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences}, pages = {8--22}, publisher = {mathdoc}, number = {2}, year = {1994}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/UZERU_1994_2_a0/} }
TY - JOUR AU - S. E. Behery AU - A. R. Kazaryan AU - I. G. Khachatryan TI - On regular binomial differential operator of JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 1994 SP - 8 EP - 22 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_1994_2_a0/ LA - ru ID - UZERU_1994_2_a0 ER -
%0 Journal Article %A S. E. Behery %A A. R. Kazaryan %A I. G. Khachatryan %T On regular binomial differential operator of %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 1994 %P 8-22 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZERU_1994_2_a0/ %G ru %F UZERU_1994_2_a0
S. E. Behery; A. R. Kazaryan; I. G. Khachatryan. On regular binomial differential operator of. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1994), pp. 8-22. http://geodesic.mathdoc.fr/item/UZERU_1994_2_a0/
[1] S. E. Bekhiri, A. R. Kazaryan, I. G. Khachatryan, “Asimptoticheskaya formula dlya regulyarnogo dvuchlennogo differentsialnogo operatora proizvolnogo chetnogo poryadka”, Uch. zapis. EGU, 1994, no. 1, 3–18
[2] I. G. Khachatryan, O vosstanovlenii differentsialnogo uravneniya po spektru, Preprint # 73 Instituta problem mekhaniki LN SSSR, M., 1976
[3] S. P. Timoshenko, Kolebaniya v inzhenernom dele, Nauka, M., 1967
[4] V. A. Ambarzumyan, “Über eine Frage der Eigenwerttheorie”, Z. Phys., 53 (1929), 690–695 | DOI | Zbl
[5] G. Vorg, “Eine Umkehrung der Sturm-Liouvilleschen Eigenvertaufgabe”, Asta. Math., Bd.53:2 (1946), 1–96
[6] L. A. Sakhnovich, “Ob odnoi poluobratnoi zadache”, UMN, 18:3 (1963), 199–206 | MR | Zbl
[7] V. A. Marchenko, “Nekotorye zadachi v teorii differentsialnogo operatora vtorogo poryadka”, Dokl. AN SSSR, 72 (1950), 457–460 | Zbl
[8] M. G. Krein, “Reshenie obratnoi zadachi Shturma–Liuvillya”, Dokl. AN SSSR, 76 (1951), 21–24 | MR
[9] M. G. Krein, “Opredelenie plotnosti neodnorodnei simmetrichnoi struny po spektru ee chastot”, DAN SSSR, 76:3 (1951), 345–348 | MR
[10] M. G. Krein, “Ob obratnykh zadachakh dlya neodnorodnoi struny”, DAN SSSR, 82:5 (1952), 669–672 | Zbl
[11] I. M. Gelfand, B. M. Levitan, “Ob opredelenii differentsialnogo uravneniya po ego spektralnoi funktsii”, DAN SSSR, 77:4 (1951), 557–560 | MR | Zbl
[12] V. A. Marchenko, Operatory Shturma-Diuvillya i ikh prilozheniya, Naukova dumka, Kiev, 1977 | MR
[13] B. M. Levitan, Obratnye zadachi Shturma–Liuvillya, Nauka, M., 1984 | MR | Zbl
[14] L. A. Sakhnovich, “Metod operatora preobrazovaniya dlya uravnenii vysshikh poryadkov”, Matem. sb., 55 (97):3 (1961), 347–360 | Zbl
[15] Z. L. Leibenzon, “Edinstvennost resheniya obratnoi zadachi dlya obyknovennykh differentsialnykh operatorov poryadka $n\geqslant2$ i preobrazovaniya takikh operatorov”, DAN SSSR, 142:3 (1962), 534–537 | MR | Zbl
[16] 3. L. Leibenzon, “Obratnaya zadacha spektralnogo analiza obyknovennykh differentsialnykh operatorov vysshikh poryadkov”, Trudy MMO, 15, 1966, 70–144 | MR | Zbl
[17] E. A. Baranova, “O vosstanovlenii differentsialnykh operatorov vysshikh poryadkov po ikh spektram”, DAN SSSR, 205:6 (1972), 1271–1273 | MR | Zbl
[18] V. A. Yurko, “O vosstanovlenii differentsialnykh operatorov vysshikh poryadkov po sisteme ikh spektrov”, Diff. uravneniya i vych. matematika. Saratov, 5:1 (1975), 26–38 | Zbl
[19] V. A. Yurko, “Vosstanovlenie differentsialnykh operatorov po matritse Veilya”, DAN SSSR, 313:6 (1990), 1368–1372 | Zbl
[20] L. A. Lyusternik, V. I. Sobolev, Kratkii kurs funktsionalnogo analiza, Vyssh. shk., M., 1982 | MR | Zbl